Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D79)⋊C8 |
| Fitting | C2×C22⋊C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34178809, #34178814, #34181162, … |
| maximal normal subgroup of | #34178809, #34178814, #34181162, … |
| maximal quotient of | C2×#23762192, C2×#23762197, C2×#23762203, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13180);